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arxiv: 0902.3877 · v1 · pith:TGEVC73Wnew · submitted 2009-02-23 · 🧮 math.AG

A note on Fano surfaces of nodal cubic threefolds

classification 🧮 math.AG
keywords fanocubicdivisorsnodalsurfacethreefoldsarbitrarycharacteristic
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We study the Picard variety of the Fano surface of nodal and mildly cuspidal cubic threefolds in arbitrary characteristic by relating divisors on the Fano surface to divisors on the symmetric product of a curve of genus 4.

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